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Manuscript Oai272-A@1 · Oai272-A.tex · remark · a40828a0

Remark: The reference inclusion must be conjugated correctly

The channel-completion interface · lines 1294–1304

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For general complex input and output isometries $W, V$ ,

J (Y \mapsto V^{†} Γ (W Y W^{†}) V) = (W^{T} \otimes V^{†}) J (Γ) (W \otimes V) .

The real coordinate inclusions in (eq:corner) remove this otherwise important distinction.

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unlabeled · line 1296
$J (Y \mapsto V^{†} Γ (W Y W^{†}) V) = (W^{T} \otimes V^{†}) J (Γ) (W \otimes V) .$

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